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Simplifying 7x + 2.50(25 + -1x) = 5.83(25) 7x + (25 * 2.50 + -1x * 2.50) = 5.83(25) 7x + (62.5 + -2.5x) = 5.83(25) Reorder the terms: 62.5 + 7x + -2.5x = 5.83(25) Combine like terms: 7x + -2.5x = 4.5x 62.5 + 4.5x = 5.83(25) Multiply 5.83 * 25 62.5 + 4.5x = 145.75 Solving 62.5 + 4.5x = 145.75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-62.5' to each side of the equation. 62.5 + -62.5 + 4.5x = 145.75 + -62.5 Combine like terms: 62.5 + -62.5 = 0.0 0.0 + 4.5x = 145.75 + -62.5 4.5x = 145.75 + -62.5 Combine like terms: 145.75 + -62.5 = 83.25 4.5x = 83.25 Divide each side by '4.5'. x = 18.5 Simplifying x = 18.5
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